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Abstract
In a clustered point pattern, consisting of parent and offspring points, in order to study the attributes of parent points as well as the behavior of offspring points which are scattered around the parents, one needs to know the locations of parent points generating offsprings. In this paper we use the Delaunay triangulation and present a general method to detect parent locations. The performance of the method is evaluated by applying the method to various simulations of a well-known case of the Neyman-Scott cluster process, the Thomas process. Furthermore, the method is used to find parent locations in tropical rain forest data sets.
Acknowledgments
We would like to thank the anonymous referees for their helpful suggestions. The BCI forest dynamics research project was made possible by National Science Foundation grants to Stephen P. Hubbell: DEB-0640386, DEB-0425651, DEB-0346488, DEB-0129874, DEB-00753102, DEB-9909347, DEB-9615226, DEB-9615226, DEB-9405933, DEB-9221033, DEB-9100058, DEB-8906869, DEB-8605042, DEB-8206992 and DEB-7922197, support from the Center for Tropical Forest Science, the Smithsonian Tropical Research Institute, the John D. and Catherine T. MacArthur Foundation, the Mellon Foundation, the Celera Foundation and numerous private individuals, and through the hard work of over 100 people from 10 countries over the past two decades. The plot project is part of the Center for Tropical Forest Science, a global network of large-scale demographic tree plots. The Barro Colorado Island soils data set were collected and analyzed by J. Dalling, R. John and K. Harms, with support from National Science Foundation grants DEB021104, DEB021115, DEB0212284, DEB0212818 and OISE 0314581 and OISE 031458, Smithsonian Tropical Research Institute and Center for Tropical Forest Science.